Abstract.
In this paper, the problem of a crack perpendicular to and terminating at an interface in bimaterial structure with finite boundaries is investigated. The dislocation simulation method and boundary collocation approach are used to derive and solve the basic equations. Two kinds of loading form are considered when the crack lies in a softer or a stiffer material, one is an ideal loading and the other one fits to the practical experiment loading. Complete solutions of the stress field including the T stress are obtained as well as the stress intensity factors. Influences of T stress on the stress field ahead of the crack tip are studied. Finite boundary effects on the stress intensity factors are emphasized. Comparisons with the problem presented by Chen et al. (Int. J. Solids and Structure, 2003, 40, 2731–2755) are discussed also.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Zak, A.R., Williams, M.L.: Crack point singularities at a bimaterial interface. J. Appl. Mech. (30), 142–143 (1963)
Cook, T.S., Erdogan, F.: Stress in bounded material with a crack perpendicular to the interface. Int. J. Engng. Sci. (10), 677–697 (1972)
Erdogan, F., Biricikoglu, B.: Two bonded half plane with a crack through the interface. Int. J. Engng. Sciences. 11, 745–766 (1973)
Bogy, D.B.: On the plane elastic problem of a loaded crack terminating a material interface. Int. J. Fract. 38, 911–918 (1971)
Wang, W.C., Chen, J.T.: Theoretical and experimental re-examination of a crack at a bimaterial interface. J. Strain Analysis 28, 53–61 (1993)
Wang, T.C., Stahle, P.: Stress state in front of a crack perpendicular to bimaterial interface. Engng. Fract. Mech. 59, 471–485 (1998)
Wang, T.C., Stahle, P.: A crack perpendicular to and terminating at a bimaterial interface. Acta. Mech. Sinica 14, 27–36 (1998)
Lin, K.Y., Mar, J.W.: Finite element analysis of a stress intensity factors for crack at a bimaterial interface. Int. J. Fract. 12, 521–531 (1976)
Meguid, S.A., Tan, M., Zhu, Z.H.: Analysis of crack perpendicular to bimaterial interface using a novel finite element. Int. J. Fract. 75, 1–25 (1995)
Chen, D.H.: A crack normal to and terminating at a bimaterial interface. Engng. Fract. Mech. 49, 517–523 (1994)
Suo, Z.G.: Singularities interacting with interface and cracks. Int. J. Solids Struct. 25, 1133–1142 (1989)
Stahle, P., Jens, G., Delfin, P.: Crack path in a weak elastic layer covering a beam. Acta. Mech. Solida Sinica 8, 579–583 (1995)
Leblond, J.B., Frelat, J.: Crack kinking from an initially closed crack. Int. J. Solids Struct. 37, 1595–1614 (2000)
Chen, Y.Z.: Closed form solutions of T-stress in plane elasticity crack problems. Int. J. Solids Struct. 37, 1629–1637 (2000)
Chen, S.H., Wang, T.C., Kao-Walter, S.: A crack perpendicular to the bimaterial interface in finite solid. Int. J. Solids Struct. 40, 2731–2755 (2003)
Gladwell, G.M.L.: Contact problem in the classical theory of elasticity. Sijthoff & Noordhoff, 1980, pp. 61–64
Author information
Authors and Affiliations
Corresponding author
Additional information
The project supported by the National Natural Science Foundation of China (10202023 and 10272103), and the Key Project of CAS (KJCX2-SW-L2).
Rights and permissions
About this article
Cite this article
Chen, S., Wang, T. & Kao-Walter, S. Finite boundary effects in problem of a crack perpendicular to and terminating at a bimaterial interface. ACTA MECH SINICA 21, 56–64 (2005). https://doi.org/10.1007/s10409-004-0007-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-004-0007-5